{"as_of":"2026-08-23T06:02:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d2563937696c22f45ac74072dac4406e60829d8c3a1dd2d744a69eb8fb4849b2","coverage":[{"denominator":43,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":43,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T11:12:27.224212Z","state":"measured"},{"denominator":43,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":43,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-22T06:32:14.747728+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2507.23152/citation-record","integrity":"/paper/2507.23152/integrity","json":"/paper/2507.23152/citation-record.json","paper":"/paper/2507.23152"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.688830Z","title":"Adámek and J","venue":null,"work_id":"fbc48fde-26a8-4384-957a-df07e0d2cc6d","year":2022},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.111767Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:22f8db9b10d6717622a2b43981e5f8132f0f5782a7e3bb2a0cd0bd1612a1af7e","observation_id":"1033627c-a997-4817-a1d0-7a0bb6452505","resolution":{"observed_at":"2026-08-06T11:12:27.691399Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.680884Z","title":"Strecker","venue":null,"work_id":"202a341b-42d0-4bd2-867c-d36641f56112","year":2006},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.114902Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:009004f32afb9c506425d2173aefe0afbc5c21c2ce3fe59d57d66eacf8dc82b4","observation_id":"b516419e-73f6-4eba-bc2c-d7d1a6b59a28","resolution":{"observed_at":"2026-08-06T11:12:27.683679Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.672727Z","title":"Locally presentable and accessible categories, volume 189 of London Mathematical Society Lecture Note Series","venue":null,"work_id":"2840b466-0ba8-4097-b439-82458c90d8c9","year":null},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.117691Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:80428832e6b56b30aa589dddbe0b3c3d46ca0e1f08bc5441a86ecbc4b0a49960","observation_id":"01098595-119b-433a-9e22-bf07725d6aa6","resolution":{"observed_at":"2026-08-06T11:12:27.675976Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.656482Z","title":null,"venue":null,"work_id":"96aa80c9-7848-44b7-98e6-555a6cd6f80c","year":1964},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.123431Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:b76f4a302df48dad9e6af16432f42269d1f9e9f8fe53a399f89847d20203b4ac","observation_id":"17290241-3d95-4393-b64e-4047b1429719","resolution":{"observed_at":"2026-08-06T11:12:27.659509Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.648161Z","title":"Compact convex sets and boundary integrals, volume 57","venue":null,"work_id":"2ea8a57a-0a66-4c8e-8032-a354aa50eb11","year":2012},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.126168Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:589ac4e14ad4f1b3d3e7f1daabca45e931f723a0d8dd4f684bb0a68e7cedb47b","observation_id":"43593ffc-52e4-4eec-88c9-e43f251b48bb","resolution":{"observed_at":"2026-08-06T11:12:27.650710Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.640202Z","title":"Asimow and A","venue":null,"work_id":"fabf82c4-76a6-4902-a01e-69afa142a375","year":1980},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.129340Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:5111f2336f85efea970fbee4f1ace259cba1e6ade77e2367ea220ec0345cf50f","observation_id":"d27139ee-4bbd-4a95-a7fd-546953ae67b4","resolution":{"observed_at":"2026-08-06T11:12:27.642734Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.632047Z","title":"Springer- Verlag, New York, 1985","venue":null,"work_id":"c3bc5135-4cdf-454e-a738-339cddbd242c","year":1985},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.131944Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:10c4afbd96732d4893f8b5801e2b9dba0a5bff99cb7a775e1fbd38441395d7a5","observation_id":"853e573b-2b57-4e0e-986b-610ecc878ced","resolution":{"observed_at":"2026-08-06T11:12:27.634645Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.623586Z","title":"Šilovscher Rand und Dirichletsches Problem","venue":null,"work_id":"408cd93d-c944-427d-8a5f-7aa172e2863b","year":null},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.134843Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:ced3fe03c9724bba5108897e9d716d04b6e3e902c45af5bc30e6a9d5fd43ec24","observation_id":"c796c22b-03a4-458f-a932-16ae98d51532","resolution":{"observed_at":"2026-08-06T11:12:27.626678Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.615603Z","title":"Blackadar","venue":null,"work_id":"e58cbe3a-9171-4241-b871-e70cf028da9c","year":2006},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.137483Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:ba3e5cdc1256db70dda615bcb0e98db67ad2d4761e1bc28b79314914311a7a5a","observation_id":"139d7913-c528-4282-9f41-b9890cdea2a9","resolution":{"observed_at":"2026-08-06T11:12:27.618313Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.607617Z","title":"Blecher and Christian Le Merdy.Operator algebras and their modules – an operator space approach, volume 30 ofLond","venue":null,"work_id":"f1b26b4b-d653-4554-8519-ba9a9b2787e9","year":2004},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.140026Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:4ec4bdfd338c14e655b909cece77e0e8e937367414da893ed86f78b8a67a5064","observation_id":"56ee8e1f-6f8c-4428-83fc-2033c6ab1877","resolution":{"observed_at":"2026-08-06T11:12:27.610481Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.600058Z","title":"Handbook of categorical algebra","venue":null,"work_id":"f5db8086-2636-42d6-b03b-b8aba5a7d4bb","year":1994},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.142559Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:d77e6fc5e9fe247c4d409ad0eeca74984e1098152ff4a750c007b1ee0e3cd4d6","observation_id":"bb330ba9-8150-4ae6-a620-eaf1f2e8eede","resolution":{"observed_at":"2026-08-06T11:12:27.602583Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.591707Z","title":"Volume 1: Basic category theory, volume 50 of Encycl","venue":null,"work_id":"6134b0d9-cca4-435f-a368-e9217f9f48ac","year":1994},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.145331Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:48e943bd0860f74b668ad2c38202736d3ad8a2246c95339cc176f39284911f8a","observation_id":"1d4830a0-efb9-4ecd-ba8e-b6303717e2e3","resolution":{"observed_at":"2026-08-06T11:12:27.594396Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.583746Z","title":"Conway.A course in functional analysis, volume 96 ofGraduate Texts in Mathematics","venue":null,"work_id":"7bcd8549-70d3-4404-a936-4c18d8d64d44","year":1990},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.147916Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:ea3d0fb7136e8193d09ae41b0d0c38b1cfcce131c275e82c81c23f900abd9089","observation_id":"8af6294d-f8a4-4cac-866b-15c7cfc979ad","resolution":{"observed_at":"2026-08-06T11:12:27.586589Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.575956Z","title":"Davidson and Matthew Kennedy","venue":null,"work_id":"a0513f53-02d6-48c1-adba-148b9c8627fd","year":null},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.150449Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:8ba59a251eebd6e397ecee90cd842beb25412845af8d046e79a218e83e3073b0","observation_id":"0067bc19-ab15-4c1d-94ef-e5dfcef0d93d","resolution":{"observed_at":"2026-08-06T11:12:27.578658Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.567623Z","title":"Tensor norms and operator ideals, volume 176 ofNorth- Holland Math","venue":null,"work_id":"71517b0e-0540-4c09-8db4-87b34c6a1e27","year":1993},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.156376Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:9a56ae5c8f3379a06f2ba73b97bcc554fd53349fdd44ecb0e6f69acf780e149c","observation_id":"26d6735b-295b-4e92-972b-f1ea85fd961e","resolution":{"observed_at":"2026-08-06T11:12:27.570748Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.559791Z","title":"Geometry of Banach spaces","venue":null,"work_id":"9072a214-2d5f-443a-8272-67e423dcef33","year":1975},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.158819Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:8780bfc0a55b7be034387b5e9252e6e0764514a35a9e7e2365edbc199efb19b6","observation_id":"602f3ca4-5c09-4865-b2ef-a986525f5d9b","resolution":{"observed_at":"2026-08-06T11:12:27.562492Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.551601Z","title":"Effros and Zhong-Jin Ruan","venue":null,"work_id":"abcbc8ae-7b07-4a7d-8539-094379f1c636","year":2000},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.161268Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:afc0f905238cb58e498e8bc08b056a635287efefc2114a0d037450c782ac854d","observation_id":"fc9028b5-1fca-41ba-9fda-06fcd4d7a66d","resolution":{"observed_at":"2026-08-06T11:12:27.554695Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.543966Z","title":"Abelian categories.Repr","venue":null,"work_id":"3b1b0fe0-9198-444d-86d6-a5451753edf1","year":2003},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.163777Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:f4b29e16ebb14f9d01a6ac657be9c0b6531290e52d78ac1354e9edb44cf8b80a","observation_id":"fe2424bd-b33b-4b98-9ab4-60027c67f841","resolution":{"observed_at":"2026-08-06T11:12:27.546644Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.535760Z","title":null,"venue":null,"work_id":"cced8952-b953-4bd9-85af-c959dc49730f","year":null},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.166666Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:3e303aad6dfb5f862a1abbcfeb48a65ad1825d3a2f13819c2ad905747ec5d62f","observation_id":"2962cf09-e0cd-498f-b170-7e2bd72714d0","resolution":{"observed_at":"2026-08-06T11:12:27.538397Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.528027Z","title":"Todorov, and MarkTomforde","venue":null,"work_id":"674495d4-9c48-44e9-9963-a3ddf99e6775","year":2011},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.169756Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:21f0d3e14df9898492967622300254fefb0cc81f368aefcafac6bca72340b26e","observation_id":"20bda328-ee6b-43be-9a6c-bd39cea22970","resolution":{"observed_at":"2026-08-06T11:12:27.530477Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.519983Z","title":null,"venue":null,"work_id":"ff3ebc63-9092-4750-9e1f-7a6f0a2e69ee","year":1998},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.172591Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:1c351b62aaa2331548aeacd9bd4499f7ccf311a75b2e262f15631053b7bfb066","observation_id":"d2d8720d-7d58-4a11-8de3-0a7731333351","resolution":{"observed_at":"2026-08-06T11:12:27.522535Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.511989Z","title":"Set theory","venue":null,"work_id":"61708768-0047-405b-a639-7939238a99c7","year":1983},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.175139Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:dc234dcbd15b6eca8bd4b8c10b0238be63f78d394f605fc207b26e9b3416e7b8","observation_id":"d1124f1a-46a9-4f44-b37c-e47c2629fe1e","resolution":{"observed_at":"2026-08-06T11:12:27.514774Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.20999","last_updated":"2024-12-30T15:09:11Z","snapshot_observed_at":"2026-08-11T06:57:25.432466Z","submitted_at":"2024-12-30T15:09:11Z","title":"The Category of Operator Spaces and Complete Contractions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.20999","snapshot_observed_at":"2026-08-06T11:12:27.177661Z","title":"The category of operator spaces and complete contractions, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.177661Z"},"links":{"cited_paper":"/paper/2412.20999","citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:12b3396c2acb3c5e9da86d2f265e637ce01db1d72b2c6364af7a01d479e4a698","observation_id":"02210173-0aff-423e-92c7-45746877dec4","resolution":{"observed_at":"2026-08-06T11:12:27.177661Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.503789Z","title":"Springer-Verlag, New York, second edition, 1998","venue":null,"work_id":"a3c46231-6676-44df-a2ab-42d2c6a7dace","year":1998},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.180553Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:efa7fffa82a3b161b645fff13220b6048fed30deff9281d566ae151f8d4ad799","observation_id":"92ff8660-4fe6-4943-9b46-e5a1ace965a9","resolution":{"observed_at":"2026-08-06T11:12:27.506656Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.495757Z","title":"Springer-Verlag, New York, second edition, 1998","venue":null,"work_id":"9d0a5ee7-4b8c-448e-abbb-2ed636021a2c","year":1998},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.183103Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:348a0756f9889778d47028514d4a62a7d5899ec4fffa3df775f68b47609b2fe4","observation_id":"026526d0-7593-41bc-88f0-a10232b27bca","resolution":{"observed_at":"2026-08-06T11:12:27.498597Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.487882Z","title":null,"venue":null,"work_id":"de02fec8-000b-41be-90a1-106dd4275d27","year":1987},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.185546Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:53383d898edc136a916886c66f689682e7823c1747e351042908209143135541","observation_id":"5ed95e4d-97b0-40cd-a418-999c76927f3e","resolution":{"observed_at":"2026-08-06T11:12:27.490670Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.479830Z","title":"Cambridge University Press, Cambridge, 2002","venue":null,"work_id":"8ce6e8c8-4df4-4ff4-aceb-afc94eb8132b","year":2002},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.188134Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:1e1ba28e5d2fb8e8f52d101a508eb99188eb9b21202e1e41daf6d5a44d4a3b12","observation_id":"3028e39b-25ab-4a50-993c-b1d81f84b21f","resolution":{"observed_at":"2026-08-06T11:12:27.482594Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.471567Z","title":null,"venue":null,"work_id":"c71fbfa9-7b69-4d34-984c-cbad73a8b79b","year":1992},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.190583Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:01415ab9a69a26023e69a022daafa55e37669c4fc1d04a2d559deb8475145cbb","observation_id":"340f1bb9-875f-4f61-a8a3-51f016e4a26e","resolution":{"observed_at":"2026-08-06T11:12:27.474423Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.463404Z","title":"Paulsen and Mark Tomforde","venue":null,"work_id":"c71c9419-8ce1-47c1-8b2a-b055ce5ee583","year":2009},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.193472Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:f59eb69a60ecf497907f404563bbe2ee892988c77103ec245956105bfadce3fb","observation_id":"42be4f7f-27cc-457f-98f5-725479434928","resolution":{"observed_at":"2026-08-06T11:12:27.466165Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.455268Z","title":"Generating the equational theory ofC˚-algebras and relatedcategories","venue":null,"work_id":"e0a0e17d-b204-4d20-80de-f47237da12a4","year":1988},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.195951Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:8b6a01dc046be1b64538bf8b0ae96c93dec1f6c7d8aace0bf3866e869a8713fe","observation_id":"745d1837-611a-4eb4-9ada-04beb6000672","resolution":{"observed_at":"2026-08-06T11:12:27.458157Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.446988Z","title":"Lectures on Choquet’s theorem, volume1757of Lecture Notes in Mathematics","venue":null,"work_id":"881c16e0-01bc-41bc-8344-64f75b6dea51","year":2001},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.198653Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:cfa594a2ba1a2bc0e0b97840c3ac70a5f511eaad7f32ade18f5fc8f34a8c364c","observation_id":"94afa0f4-aaff-479c-9a38-db0ad89a0638","resolution":{"observed_at":"2026-08-06T11:12:27.449827Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.438549Z","title":"The Halmos problem","venue":null,"work_id":"64ad0c92-e8e8-4994-bc48-9b5a85364a2d","year":2001},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.201173Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:30848b967bd4ed7073a90b813493822fe21fc17f316a11cf065ac162ec58268c","observation_id":"1748084c-a67d-4d89-8551-96ea77c19382","resolution":{"observed_at":"2026-08-06T11:12:27.441435Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.430547Z","title":null,"venue":null,"work_id":"33491fe5-3221-4471-98e6-212e6bd42154","year":2003},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.203684Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:8e10ab3eefc7ba87a390cdafd093940d96ec5b3a8322a60cdc00c288b0ea3e20","observation_id":"f667b863-2cba-41d6-b30e-0789c613cca3","resolution":{"observed_at":"2026-08-06T11:12:27.433118Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.422193Z","title":"Oncategoriesofmonoids, comonoids, andbimonoids","venue":null,"work_id":"09a53141-9a44-4b0b-bfab-bcef279f4b4e","year":2008},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.206090Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:4f65dffd01c3df4e4712144ba2322549e78e32f075690cca37bd13859846d200","observation_id":"66d2c815-3d47-4582-b766-2117148e3aa6","resolution":{"observed_at":"2026-08-06T11:12:27.425022Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.413658Z","title":"Projective and injective objects in the category of Banach spaces.Proc","venue":null,"work_id":"c89c714f-1009-4f55-80d1-15b8308eddde","year":1969},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.209054Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:8380a47e1bcd4d1f7d30fca5a96777e9348271d03d2c95becb613bec77fc5df1","observation_id":"bc0de2d1-34b2-4b1b-9047-f71702ca8819","resolution":{"observed_at":"2026-08-06T11:12:27.416639Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.404527Z","title":"Banach spaces and totally convex spaces","venue":null,"work_id":"9789b689-f68e-47f9-a08d-f28dd2cccb8e","year":1984},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.211486Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:0dde7a24e6ddffa717ae8d1b9d84b23aa9b9dfc02eac9fa376e389f37c5d1a9c","observation_id":"b5f49af8-8a58-4d97-a8e0-9b338fc17add","resolution":{"observed_at":"2026-08-06T11:12:27.407706Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.394742Z","title":null,"venue":null,"work_id":"292ee809-bc51-4062-9fdb-9a98787aaf9d","year":2022},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.213976Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:311a056a5fb6a124ca91ca79ab9d29ba23ce632994349bc72e22577b8ccd67a0","observation_id":"c8954169-a07b-468c-a16d-f402116a7745","resolution":{"observed_at":"2026-08-06T11:12:27.397729Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.385101Z","title":"Ryan.Introduction to tensor products of Banach spaces","venue":null,"work_id":"b36d549b-0eae-4fc6-bc0b-ea9e26bdaa4b","year":2002},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.216392Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:af09d30c0d89783c24bbc63a4d92a4d97401a53359cede4f4933a17d90e942bf","observation_id":"917947a8-07cc-4b2b-ba20-775a2ed8cff3","resolution":{"observed_at":"2026-08-06T11:12:27.388247Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.286941Z","title":null,"venue":null,"work_id":"e519dbf3-0703-407e-a39d-352f237caa16","year":1971},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.219030Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:abcde18e81ab96d22bf85b8c7ef2e75d7ac1a63a29ab9b030e48ebd8f917133d","observation_id":"e8bfb16a-1af9-4b55-86c4-3febb0c72016","resolution":{"observed_at":"2026-08-06T11:12:27.289619Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.277343Z","title":"Tensor products of commutative Banach algebras","venue":null,"work_id":"ec19a6ca-f99f-47ef-969e-9ac06f74de26","year":1960},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.221431Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:769e19ef9199d4f4c7d99e04e017da9f4b27be4dfc1d7c381601b0dd689d26d7","observation_id":"99657760-9105-49e6-bcc9-c54212574705","resolution":{"observed_at":"2026-08-06T11:12:27.280890Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.266796Z","title":"Representations of operator spaces.J","venue":null,"work_id":"08feff1d-b545-4b1a-9cd7-12bc12ef7e89","year":1995},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.224212Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:46ac2422a1bde6cae5ce5ccf44bdfbfd73dbacc34c76cd9edf2b0369fbde153d","observation_id":"6154d7c3-e9f3-411e-82b2-3c1bdb1867c8","resolution":{"observed_at":"2026-08-06T11:12:27.271281Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:12:27.664732Z","title":null,"venue":null,"work_id":"be55042c-2f1a-4851-b934-41ef9986ae01","year":null},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":1994,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.120476Z"},"links":{"citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:3f0a5931b3c565bbf2c7300a349a1c0384b9d28169a4494dc982b5c28df4da4f","observation_id":"3c43fdce-dcb3-438b-bc30-7ed3a4fec774","resolution":{"observed_at":"2026-08-06T11:12:27.667513Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.09455","last_updated":"2024-12-12T17:07:08Z","snapshot_observed_at":"2026-08-16T13:00:07.992159Z","submitted_at":"2024-12-12T17:07:08Z","title":"Noncommutative Choquet theory: A Survey","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.09455","snapshot_observed_at":"2026-08-06T11:12:27.153295Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories","version":1},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-06T11:12:27.153295Z"},"links":{"cited_paper":"/paper/2412.09455","citing_paper":"/paper/2507.23152"},"observation_digest":"sha256:195487ea60e905bca5ba5d2c11034f303932039c71d16669b17521f979626e8d","observation_id":"6346fbb6-ded2-4c0b-bd1f-c18914f02397","resolution":{"observed_at":"2026-08-06T11:12:27.153295Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2507.23152","last_updated":"2025-07-30T23:00:45Z","latest_version":1,"primary_category":"math.CT","snapshot_observed_at":"2026-08-17T05:42:07.347277Z","submitted_at":"2025-07-30T23:00:45Z","title":"Local presentability and monadicity of forgetful functors for operator algebraic categories"},"reference_resolution":{"displayed":43,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":11,"verified_exact":0,"verified_fuzzy":32},"total_outbound_references":43},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 23 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2507.23152."}